Four candidates participated in a school election. Bianca received 1/2 of the votes, Chelsea received 0.28 of the votes, Darnell received 20% of the votes, and Francisco received the rest of the votes. What percent of the votes did Francisco receive?

The withdrawal fee of R100.00 is 2% of the transaction amount of R5,000.00.

To calculate the percentage that the withdrawal fee is of the transaction amount, we need to determine the fee amount and then express it as a percentage of the transaction amount.

Let's assume that the withdrawal fee is 2% of the transaction amount. To calculate the fee amount, we multiply the transaction amount by the fee percentage:

Fee Amount = 2% of R5,000.00

= 0.02 * R5,000.00

= R100.00

Therefore, the withdrawal fee is R100.00.

To calculate the percentage of R5000.00, we can divide the fee amount by the transaction amount and then multiply by 100 to express it as a percentage:

Percentage = (Fee Amount / Transaction Amount) * 100

= (R100.00 / R5000.00) * 100

= 2%

Hence, the withdrawal fee of R100.00 is 2% of the transaction amount of R5,000.00.

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Based on the information, the probability is 1/144, or approximately 0.0069.

Each number cube has 12 possible outcomes, as there are 12 faces labeled from 1 to 12.

The probability of rolling an 11 on one number cube is 1 out of 12, as there is only one face labeled 11 out of the 12 possible outcomes.

Since the two number cubes are rolled simultaneously, the total number of possible outcomes is the product of the possible outcomes for each cube, which is 12 * 12 = 144.

The number of favorable outcomes, in this case, is 1, as both number cubes need to show 11.

Therefore, the probability that both number cubes land with the number 11 facing up in one roll is:

Number of favorable outcomes / Total number of possible outcomes

= 1 / 144

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The expressions "5yA," "Y+Y+Y+Y+YB," "YxYxYxYxYC," and "Y(5)D" are not equivalent to "Y(1+1+1+1+1)." The latter expression represents the multiplication of "Y" by the sum of five "1"s, while the former expressions involve different operations or arrangements of "Y" and other characters.

The expression "5yA" does not have a clear meaning without additional context. It could be a combination of the number 5, the variable "y," and the letter "A," but it lacks an operation or defined relationship between these elements.

The expression "Y+Y+Y+Y+YB" represents the addition of five instances of "Y" and the letter "B." It does not involve multiplication or a sum of "1"s, making it different from "Y(1+1+1+1+1)."  

The expression "YxYxYxYxYC" suggests repeated multiplication of "Y" and "C." It does not involve the sum of "1"s, nor does it match the arrangement of elements in "Y(1+1+1+1+1)."

Lastly, "Y(5)D" represents the product of "Y" and "D" multiplied by 5. This expression does not include the sum of "1"s and has a different structure compared to "Y(1+1+1+1+1)."

In summary, the expressions "5yA," "Y+Y+Y+Y+YB," "YxYxYxYxYC," and "Y(5)D" are not equivalent to "Y(1+1+1+1+1)" as they involve different operations, arrangements, or elements altogether.

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The value of y in the pair of points (7, 4) and (3, y), lying on the same line with a slope of 1/4, is y = 5. This is obtained by setting up and solving an equation using the slope formula.

The value of y can be determined by using the slope formula. The slope between two points (x1, y1) and (x2, y2) is given by (y2 - y1) / (x2 - x1). In this case, we have the points (7, 4) and (3, y), with a slope of 1/4. Plugging in the values, we get (y - 4) / (3 - 7) = 1/4. Simplifying this equation, we have (y - 4) / (-4) = 1/4. Cross-multiplying, we get -4(y - 4) = 1(-4), which simplifies to -4y + 16 = -4. Solving for y, we subtract 16 from both sides, giving us -4y = -20. Dividing by -4, we find y = 5.

To summarize, the value of y in the pair of points (7, 4) and (3, y), lying on the same line with a slope of 1/4, is y = 5. This is obtained by setting up and solving an equation using the slope formula.

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The function f(x) = -4x^2 + 32x - 48 is a quadratic function.

To analyze the function algebraically, we can look at its key characteristics:

Quadratic term: The term -4x^2 indicates that the function is a quadratic function.

Coefficients: The coefficient of the quadratic term is -4, the coefficient of the linear term is 32, and the constant term is -48.

Vertex: The vertex of the quadratic function can be found using the formula x = -b/(2a). In this case, the vertex is located at x = -32/(2*(-4)) = 4. Substitute this value back into the function to find the y-coordinate of the vertex: f(4) = -4(4)^2 + 32(4) - 48 = 0. Hence, the vertex is (4, 0).

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The surface area of a sphere is 4πr2, where r is the radius of the sphere. The cost of a sphere is 2 per square foot, so the cost of a sphere with radius r is 8πr2. Selim can spend 20 per sphere, so he can purchase a sphere with radius r such that 8πr2≤20. This inequality can be solved for r to get r≤8π20​​=2π5​​. The diameter of a sphere is 2r, so the maximum diameter of the spheres Selim can purchase is 22π5​​=10π​≈3.162 feet.

The formula of height h = (3v) / (π * r^2)To find the height (h) of a cone given the volume (v) and the radius of the base (r), we can rearrange the equation v = (π * r^2 * h) / 3.

By multiplying both sides by 3 and dividing by π * r^2, we isolate the variable h and obtain the formula h = (3v) / (π * r^2). Substituting the appropriate values for volume and radius into this equation allows us to calculate the height of the cone.

To solve for the height (h) in the equation v = (π * r^2 * h) / 3, we first multiply both sides by 3 to eliminate the fraction. This results in the equation 3v = π * r^2 * h. Next, we isolate the variable h by dividing both sides of the equation by π * r^2, giving us the formula h = (3v) / (π * r^2). By substituting the known values for volume (v) and radius (r) into this equation, we can calculate the height (h) of the cone. It is important to ensure that the units for volume and radius are consistent and compatible to obtain the correct result.

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Therefore, the total cost of the knives is $50.

Arithmetic is the fundamental of mathematics that includes the operations of numbers. These operations are addition, subtraction, multiplication and division. Arithmetic is one of the important branches of mathematics, that lays the foundation of the subject 'Maths', for students.

The total cost of the knives is $50.

What is being offered in the television ad?

A set of knives is being offered in the television ad. The knives are being sold for $20 down and $5 a month for six months.How to determine the total cost of the knives?To calculate the total cost of the knives, we will use the formula:

Total cost = Down payment + Monthly payment × Number of monthsTotal cost

= $20 + $5 × 6 = $20 + $30

= $50

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PS and PC are both equal to 16000 feet when SC is 24000 feet. These lengths are determined based on the relationship between the centroid and the midpoints of the sides in a triangle.

In a triangular park, with point P as the centroid, if SC (one of the sides) is equal to 24000 feet, the lengths of PS and PC can be determined.

To find the lengths of PS and PC, we need to consider the properties of a centroid in a triangle. The centroid divides each median into two segments, with the ratio of 2:1.

In other words, the distance from the centroid to the midpoint of a side is two-thirds of the length of the entire median.

In this case, since SC is equal to 24000 feet, PS and PC can be calculated as follows:

PS = (2/3) * SC = (2/3) * 24000 = 16000 feet.

PC = (2/3) * SC = (2/3) * 24000 = 16000 feet.

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The answer is "The length of the longest side is 6x² - 12x + 16. Here, the total perimeter is given as LaTeX: 16x² + 21x + 16.

As there are five sides, we can express the total perimeter as the sum of all the five sides. Let the length of the longest side be 'l'.

So, the total perimeter is equal to the sum of all five sides, which can be expressed as:  

3x + 8 + 2x² + 4x + 2x² + 2x + 5x² + 3x + 2 + l16x + 21x + 16

= 10x + 9x + l.                                                                                        

Now, we can find the length of the longest side by simplifying the above equation and solving for 'l'.

16x² + 21x + 16 = 10x² + 9x + l

l = 6x² - 12x + 16

Therefore, the length of the longest side is 6x² - 12x + 16.

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The dimensions of the rectangle are 16 inches in width and 24 inches in length.

Let's assume the width of the rectangle is x inches. According to the problem, the length is 8 inches greater than the width, so the length can be represented as (x + 8) inches.

The formula for the area of a rectangle is length multiplied by width. In this case, the area is given as 384 square inches. So, we can set up the equation:

Length * Width = Area

(x + 8) * x = 384

Expanding the equation:

x^2 + 8x = 384

Rearranging the equation to solve for x:

x^2 + 8x - 384 = 0

We can solve this quadratic equation by factoring or using the quadratic formula. Factoring it, we find:

(x - 16)(x + 24) = 0

So, x = 16 or x = -24.

Since dimensions cannot be negative, we discard the negative solution. Therefore, the width of the rectangle is 16 inches.

Substituting this value back into the equation for the length:

Length = x + 8 = 16 + 8 = 24 inches

Hence, the dimensions of the rectangle are 16 inches in width and 24 inches in length, which gives an area of 384 square inches.

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Jen's average speed for the entire round trip, including the outbound and return trips, is 30 mph.

To determine Jen's average speed for the entire round trip, we need to calculate the total distance traveled and the total time taken.

Let's assume the distance between Boston and Cape Cod is "d" miles.

For the outbound trip from Boston to Cape Cod, Jen traveled at a speed of 60 mph. The time taken for this leg of the trip is given by:

Time = Distance / Speed

Time = d / 60

For the return trip, it took Jen 3 times longer due to heavy traffic. Therefore, the time taken for the return trip is 3 times the time taken for the outbound trip:

Time for return trip = 3 * (d / 60) = (3d) / 60

The total time for the round trip is the sum of the outbound and return trip times:

Total Time = d / 60 + (3d) / 60 = (d + 3d) / 60 = 4d / 60 = d / 15

The total distance for the round trip is twice the distance from Boston to Cape Cod:

Total Distance = 2d

Now, we can calculate Jen's average speed by dividing the total distance by the total time:

Average Speed = Total Distance / Total Time

Average Speed = 2d / (d / 15)

Average Speed = 2 * 15

Average Speed = 30 mph

Therefore, Jen's average speed for the entire round trip, including the outbound and return trips, is 30 mph.

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1. One of the planes parallel to plane WXT is the plane WXY.2. Two segments parallel to VU are AB and CD.3. Two segments parallel to SW are PQ and RS.4. Two segments skew to XY are QR and PS.5.

Two segments skew to VZ are RT and PU.A plane parallel to plane WXT:Consider the following figure below: Here, WX is parallel to YZ. Now, any plane which passes through any of the point, say X and Y, which lie on the line WX and YZ respectively, will be parallel to plane WXT. One of such plane is plane WXY.

Two segments parallel to VU:Segments AB and CD are parallel to VU in the following figure below:Two segments parallel to SW:Segments PQ and RS are parallel to SW in the following figure below:Two segments skew to XY:Segments QR and PS are skew to XY in the following figure below:Two segments skew to VZ:Segments RT and PU are skew to VZ in the following figure below:

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The polynomial represented by the algebra tiles is: x - 4

Given algebra tile configuration:

3 large tiles, 5 tiles each half the size of a large tile, and 8 tiles each one-quarter the size of a large tile.

Two of the large tiles are labeled plus x squared and 1 is labeled negative x square. Two smaller tiles are labeled plus x and 3 are labeled negative x. Six of the smallest tiles are labeled + and 2 are labeled minus.

In order to find the polynomial represented by the algebra tiles, let us consider the number of positive and negative tiles.

Polynomials represented by the algebra tiles:

There are 2 large tiles labeled as x² and a single large tile labeled as -x²

Hence, the net contribution from these 3 large tiles is equal to

+ x² + (-x²) = 0

Now, let's look at the smaller tiles, there are two tiles labeled +x and three tiles labeled -x.

Therefore, the net contribution from these tiles is equal to

2x + (-3x) = -x

Similarly, six smallest tiles are labeled as positive and two are labeled as negative, thus the net contribution from the smallest tiles is equal to 6 - 2 = 4

Hence, the polynomial represented by the algebra tiles is:

x - 4

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The expression (5x)² is equal to ___ x², where the twos are cubes.

To simplify the expression (5x)², we need to apply the exponent rules. Since the twos are cubes, we need to cube both the base and the exponent.

(5x)² can be rewritten as (5x)³³. Applying the exponent rule for a power of a product, we raise each factor inside the parentheses to the third power:

(5x)³³ = (5)³(x)³ = 125x³.

Therefore, the expression (5x)² is equal to 125x³, where the twos are cubes.

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It would take 15/4 or 3.75 hours to paint one full room.

If it takes 3/2 of an hour to paint 2/5 of a room, we can use proportions to find how long it would take to paint one full room. Let's represent the time it takes to paint one full room as x.

Then we have the following proportion:

2/5 room : 3/2 hour = 1 room : x

To solve for x, we can cross-multiply: (2/5) * x = (3/2) * 1

Simplifying the right side gives:(2/5) * x = 3/2

Multiplying both sides by the reciprocal of 2/5 gives us:x = (3/2) / (2/5)

Multiplying by the reciprocal is the same as dividing, so we have:x = (3/2) * (5/2)

Simplifying gives:x = 15/4

Therefore, it would take 15/4 or 3.75 hours to paint one full room.

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We can conclude that the relationship represented by the given equation is a function. Moreover, the pressure increases as the diver descends below sea level, which is shown by the positive slope (0.445) of the equation.

The equation y = 0.445x + 14.7 represents a situation where a diver descends below sea level. This equation gives the pressure (y) of the water at a depth of x feet below sea level. Here, y is dependent on x. It means that the pressure at a given depth is dependent on that particular depth. Therefore, we can say that the given equation represents a function because for each value of x, there is only one corresponding value of y.

A function is defined as a relation that maps each input value (x) to exactly one output value (y). In other words, it is a set of ordered pairs (x, y), where each value of x is paired with a unique value of y. The equation given above satisfies this definition of a function because it represents a one-to-one relationship between the depth (x) and the pressure (y) of the water.

Therefore, we can conclude that the relationship represented by the given equation is a function. Moreover, the pressure increases as the diver descends below sea level, which is shown by the positive slope (0.445) of the equation.

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my friend earned a total of $21 by mowing neighbors' lawns and hauling away bags of recyclables.

To calculate the total amount earned by my friend, we need to find the sum of the earnings from mowing lawns and hauling away recyclables.

Given:

Earnings per hour for mowing lawns: $7

Earnings for hauling away recyclables: $14

To calculate the total earnings, we can add the two amounts together:

Total earnings = Earnings from mowing lawns + Earnings from hauling recyclables

Total earnings = $7 + $14

Total earnings = $21

Therefore, my friend earned a total of $21 by mowing neighbors' lawns and hauling away bags of recyclables.

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Question: When mowing her neighbors' lawns, Sarah earns $7 per hour. Additionally, she earned $14 for hauling away bags of recyclables for her neighbors. Please provide the missing information to complete this question.

Answer choices:

a) Number of hours Sarah spent mowing

b) Total amount earned by Sarah for mowing

c) Number of bags of recyclables hauled by Sarah

d) Total amount earned by Sarah for both mowing and hauling recyclables

The dimensions of the bedroom in the blueprint are approximately 1/9 ft by 1/12 ft.

To find the dimensions of the bedroom in the blueprint, we can use the given scale of 1/4 in = 3 ft.

First, let's convert the dimensions of the actual bedroom into feet:

Length of the actual bedroom = 16 in * (1 ft / 12 in) = 16/12 ft = 4/3 ft

Width of the actual bedroom = 12 in * (1 ft / 12 in) = 12/12 ft = 1 ft

Now, let's use the scale to find the dimensions of the bedroom in the blueprint:

Length of the bedroom in the blueprint = Length of the actual bedroom * Scale

Length of the bedroom in the blueprint = (4/3 ft) * (1/4 in / 3 ft)

Length of the bedroom in the blueprint = 4/3 * 1/12

Length of the bedroom in the blueprint = 4/36

Length of the bedroom in the blueprint = 1/9 ft

Width of the bedroom in the blueprint = Width of the actual bedroom * Scale

Width of the bedroom in the blueprint = (1 ft) * (1/4 in / 3 ft)

Width of the bedroom in the blueprint = 1 * 1/12

Width of the bedroom in the blueprint = 1/12 ft

Therefore, the dimensions of the bedroom in the blueprint are approximately 1/9 ft by 1/12 ft.

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b is the length of a side of a triangle, it cannot be negative. The length of the other leg of the right triangle is 15.

A right triangle is a triangle that has one of its angles exactly 90°. The leg of a right triangle is 8 and the hypotenuse is 17. To find the length of the other leg of the right triangle, we can use the Pythagorean theorem.

This theorem states that for any right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. In equation form, this can be written as: a² + b² = c²where a and b are the lengths of the legs of the right triangle, and c is the length of the hypotenuse. Substituting the given values into this equation, we have: 8² + b² = 17²

Simplifying the left-hand side of the equation, we get:

64 + b² = 289

Subtracting 64 from both sides, we get:

b² = 225

Taking the square root of both sides, we get:

b = ±15

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Answer: To find 20% of 10, Karin can set up the equation as follows:

20% of 10 = (20/100) * 10

Now, let's calculate it:

20% of 10 = (20/100) * 10 = 0.20 * 10 = 2

Therefore, 20% of 10 is equal to 2.

After 6 miles, the cost of using Lyft and Uber becomes the same. To find the number of miles at which the cost of using Lyft and Uber becomes the same, we can set up an equation based on the given information.

This is a problem based on solving equation with one variable. Let's denote the number of miles as "x". The cost of using Lyft can be expressed as:

Cost of Lyft = 2.7x + 2.5

The cost of using Uber can be expressed as:

Cost of Uber = 2.5x + 3.7

To find the number of miles at which the costs are equal, we can set the two equations equal to each other and solve for x:

2.7x + 2.5 = 2.5x + 3.7

Simplifying the equation:

0.2x = 1.2

x = 1.2 / 0.2

x = 6

Therefore, after 6 miles, the cost of using Lyft and Uber becomes the same.

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The polynomial for the perimeter of the rectangle can be expressed as P(n) = 2(2n+8) + 2(n-7), which simplifies to P(n) = 4n + 16 + 2n - 14.

Combining like terms, we get P(n) = 6n + 2. Therefore, the polynomial in standard form for the perimeter of the rectangle is P(n) = 6n + 2.

To find the perimeter of the rectangle, we need to add up the lengths of all four sides. The length of the rectangle is represented by 2n+8, so we have 2 sides of length (2n+8). The width of the rectangle is represented by n-7, so we have 2 sides of length (n-7). To calculate the perimeter, we add up the lengths of all four sides: (2n+8) + (2n+8) + (n-7) + (n-7). Simplifying this expression, we get 6n + 2, which is the polynomial in standard form for the perimeter of the rectangle.

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Therefore, the value that needs to be added to (-5)/8 in order to get 5/9 is -5/72.

To get 5/9, what number should be added to (-5)/8?

We can begin the solution by adding "x" to (-5)/8. Then, we will have:((-5)/8) + x = 5/9

The next step is to isolate the variable x, which is accomplished by subtracting (-5)/8 from both sides. The equation becomes:(-5/8) + (5/9) = x

We'll need to find a common denominator for this expression:

((-45)/72) + (40/72) = xSimplifying, we get:

((-45) + 40)/72 = x(-5)/72 = x

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the value of n remains indeterminate in this case.To find the value of n in the expression (y^20)(y^-5)^2i equivalent to yn, we can simplify the expression first.

Starting with (y^20)(y^-5)^2i, we can simplify the exponent by multiplying the exponents of y:
(y^20)(y^-5)^2i = y^(20 + (-5 * 2))i = y^(20 + (-10))i = y^10i.

Now, we can equate this simplified expression to yn:
y^10i = yn.

To find the value of n, we can compare the exponents:
10i = n.

Since the imaginary unit i represents the square root of -1, and the exponent in this case is not purely real, we cannot find a specific value for n. Therefore, the value of n remains indeterminate in this case.

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The expression to determine the total cost in dollars to make and ship a photo book with x extra pages is: 25 + 1.65x.

To calculate the total cost of making and shipping a photo book with x extra pages, we need to consider the base cost, the cost of extra pages, and the shipping cost.

The base cost of making a photo book with 15 pages is $20.

Each additional page beyond the initial 15 pages incurs a cost of $1.65 per page.

Therefore, the cost of x extra pages would be 1.65x.

The shipping cost to ship the completed photo book is a fixed $5.

To calculate the total cost, we add the base cost, the cost of extra pages, and the shipping cost together:

Total Cost = Base Cost + Cost of Extra Pages + Shipping Cost

Total Cost = $20 + $1.65x + $5

Total Cost = $25 + $1.65x

Thus, the expression to determine the total cost in dollars to make and ship a photo book with x extra pages is 25 + 1.65x.

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The table that best shows the conditional relative-frequency of rows for the data is the fourth option for A school for learning foreign languages has 72 students who learn German, and 54 of those students also learn Russian. There are 12 students who do not learn German but learn Russian, and 10 students do not learn either German or Russian using data-handling.

Given data, 72 students learn German

54 students learn Russian and German

12 students learn Russian but not German

10 students learn neither Russian nor German.

Therefore, The total number of students in the school is 72 + 10 = 82.

Let's fill the table:Learn German Do not learn German Total Learn Russian 54     12      66

Do not learn Russian 18    10     28

Total 72    22     82

Now, we can find the conditional relative frequency of rows as follows:

For students who learn Russian:0.82 = 66/81.00 = 1For students who do not learn Russian:0.64 = 18/28 0.36 = 10/28 1For students who learn German:0.54 = 54/1.00 = 1For students who do not learn German:0.12 = 12/28 0.88 = 22/28 1Thus, the fourth option shows the conditional relative frequency of rows for the given data.

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The mean rainfall for the highland storms is 15.27 millimeters, and the mean rainfall for the lowland storms is 12.05 millimeters.

In the dot plots, each dot represents the rainfall total for a spring storm in either the highland or lowland areas. To find the mean rainfall, we calculate the average of all the rainfall values in each plot.

For the highland storms, the mean is 15.27 millimeters, which indicates that, on average, the rainfall for the spring storms in the highland areas is 15.27 millimeters.

For the lowland storms, the mean is 12.05 millimeters, suggesting that the average rainfall for the spring storms in the lowland areas is 12.05 millimeters.

These values provide a measure of the central tendency or average rainfall for the respective areas and can help in comparing the rainfall patterns between the highlands and lowlands.

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The function that represents the parent function vertically stretched by a factor of 3, reflected over the x-axis, and translated right 2 units and up 4 units is g(x) = 3∣x - 2∣ + 4.

This can be explained as follows:

In the parent function ∣x∣, the absolute value of x ensures that the graph is reflected over the x-axis, resulting in a V-shaped graph in the positive y-axis region. By replacing x with (x - 2), we achieve a horizontal translation of 2 units to the right. Next, multiplying the absolute value term by 3 vertically stretches the graph by a factor of 3, making the V-shape narrower and taller. Finally, adding 4 to the function translates the graph upward by 4 units.

Thus, the function g(x) = 3∣x - 2∣ + 4 combines the vertical stretching, reflection, and translations described above to match the given criteria.

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The coefficient is:

Work/explanation:

To find the coefficient of m, we will take a look at the number that comes in front of m.

That number is 9. Hence, that's the coefficient.

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